ON SOME LAMBDA-PASCAL SEQUENCE SPACES AND COMPACT OPERATORS
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Rocky Mt Math Consortium
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We introduce Lambda-Pascal sequence spaces l(q) (G), c0(G), c(G) and l8(G) generated by the matrix G which is obtained by the product of Pascal matrix and 3-matrix. It is proved that the Lambda-Pascal sequence spaces l (q) ( G), c(0)(G), c(G) and l(infinity)(G) are BK-spaces and linearly isomorphic to l (q), c(0), c and l(infinity), respectively. We construct Schauder bases and obtain alpha-, ss- and gamma-duals of the new spaces. We state and prove characterization theorems related to matrix transformation from the space l (q) (G) to the spaces l(infinity), c and c(0). Finally, we determine necessary and sufficient conditions for a matrix operator to be compact from the space c(0)(G) to any one of the spaces l(infinity), c, c(0) or l(1).
Açıklama
Anahtar Kelimeler
sequence space, Pascal matrix, Schauder basis, Kothe duals, matrix mappings, compact operator
Kaynak
Rocky Mountain Journal of Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
52
Sayı
3